TY - JOUR
T1 - Error Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws
AU - Hundsdorfer, Willem
AU - Ketcheson, David I.
AU - Savostianov, Igor
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): FIC/2010/05
Acknowledgements: This work has been supported by Award No. FIC/2010/05 from King Abdullah University of Science and Technology (KAUST).
PY - 2014/8/27
Y1 - 2014/8/27
N2 - An error analysis is presented for explicit partitioned Runge–Kutta methods and multirate methods applied to conservation laws. The interfaces, across which different methods or time steps are used, lead to order reduction of the schemes. Along with cell-based decompositions, also flux-based decompositions are studied. In the latter case mass conservation is guaranteed, but it will be seen that the accuracy may deteriorate.
AB - An error analysis is presented for explicit partitioned Runge–Kutta methods and multirate methods applied to conservation laws. The interfaces, across which different methods or time steps are used, lead to order reduction of the schemes. Along with cell-based decompositions, also flux-based decompositions are studied. In the latter case mass conservation is guaranteed, but it will be seen that the accuracy may deteriorate.
UR - http://hdl.handle.net/10754/333609
UR - http://link.springer.com/10.1007/s10915-014-9906-1
UR - http://www.scopus.com/inward/record.url?scp=84906438786&partnerID=8YFLogxK
U2 - 10.1007/s10915-014-9906-1
DO - 10.1007/s10915-014-9906-1
M3 - Article
SN - 0885-7474
VL - 63
SP - 633
EP - 653
JO - Journal of Scientific Computing
JF - Journal of Scientific Computing
IS - 3
ER -